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Finding the Fourth Proportional to 203,434.90, 305,200.95 and 98,167.30

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Solution

The fourth proportional to 203,434.90, 305,200.95 and 98,167.30 is: 147,274.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,434.90 : 305,200.95 = 98,167.30 : x
  2. Step 2: Convert to fraction form
    203,434.90/305,200.95 = 98,167.30/x
  3. Step 3: Cross multiply
    203,434.90x = 305,200.95 × 98,167.30
  4. Step 4: Simplify right side
    203,434.90x = 29,960,753,218.94
  5. Step 5: Solve for x
    x = 29,960,753,218.94/203,434.90
  6. Step 6: Final answer
    x = 147,274.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.